What is the slope of 3x−6y=123x−6y=12?

1 Answer
Namkhang · Tony B
Oct 16, 2017

y=1/2x-2y=12x−2

Rate of change is +1/2+12

Explanation:

First of all the rate of change is known as the slope of a line in Algebra.

The slope helps determine in which way the line curves/moves. In order to solve for the y we must move the x to the other side of the equation (isolate the variable).

After we have done that we can now begin solving the equation. Since we are solving for y we can't have any numbers with it. So the next step is to divide both sides by -6. In which we end up with:

color(white)("dddddddddddddddd")y=1/2x-2ddddddddddddddddy=12x−2.
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Given: 3x-6y=123x−6y=12

Subtract 3x3x from both sides

3x-6y=123x−6y=12
ul(3xcolor(white)("dddddddddd")3xlarr" Subtract")
color(white)("d")0-6y=12-3x

-6y=-3x+12

multiply both sides by color(red)(1/6)

color(green)(-6/(color(red)(6))y=-3/(color(red)(6)) x+12/(color(red)(6))

-y=-1/2x+6

Multiply both side by (-1)

y=1/2x-2
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The rate of change is the coefficient of x->1/2

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